Hill hyperbola: v(F)=b(F_max−F)/(F+a); v_max=b·F_max/a; F_opt=√(a(F_max+a))−a

Sympy-exact symbolic witness of the Hill force-velocity hyperbola canonical form and power-optimisation anchors. Setup: F (force), v (shortening velocity), a, b, F_max — all positive symbols. Hill 1938 constitutive equation: (F+a)(v+b) =…